Self-small products of abelian groups
| Autor: | Dvořák, Josef, Žemlička, Jan |
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| Rok vydání: | 2021 |
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| Druh dokumentu: | Working Paper |
| Popis: | For abelian groups $A, B$, $A$ is called $B$-small if the covariant functor $Hom(A,-)$ commutes with all direct sums $B^{(\kappa)}$ and $A$ is self-small provided it is $A$-small. The paper characterizes self-small products applying developed closure properties of the classes of relatively small groups. As a consequence, self-small products of finitely generated abelian groups are described. |
| Databáze: | arXiv |
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